a.
To determine the ratio of population of rabbits to coyotes when
The ratio of population of rabbits to coyotes when
Given:
The given functions are:
and
where
Calculation:
When
Now when
So, the ratio of population of rabbits to coyotes is:
Next when
And when
So, the ratio of population of rabbits to coyotes is:
Next when
And when
So, the ratio of population of rabbits to coyotes is:
Next when
And when
So, the ratio of population of rabbits to coyotes is:
b.
To draw the graph for both functions in the same coordinate plane.
Given:
The given functions are:
and
where
Graph:
The graph for both functions is shown below:
c.
To explain how the changes in the two populations appear to be related.
Interpretation:
From the graph, the population of the rabbits are always higher than the population of coyotes. The variations in the populations of rabbits and coyotes are oscillatory. Although the population of rabbits undergo a higher amplitude oscillation, i.e. the population of rabbits increases by a higher number and then decreases by a higher number compared to the population of coyotes. Also, the variations in the population of rabbits is ahead of the population of coyotes by a phase difference of
Chapter 10 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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